GitHub

tahafaghani/Runge-Kutta

This repository contains simulations of dynamic systems using the Runge-Kutta numerical method to solve the system of differential equations governing the dynamics of various mechanical systems. These ...
Scientific Research Publishing

E. Fehlberg, “Low-Order Classical Runge-Kutta Formulas with Step Size Control and Their Application to Some Heat Transfer Problems,” Computing, Vol. 6, 1970, pp. 61-71. doi ...

ABSTRACT: We present an algorithm for determining the stepsize in an explicit Runge-Kutta method that is suitable when solving moderately stiff differential equations. The algorithm has a geometric ...
IEEE

Effect of wind and current on course control of a maneuvering vessel

Abstract: The equations of motion of a maneuvering vessel under the action of wind, current, rudder and propulsion are solved by the MATLAB Runge-Kutta solver ode45. The hydrodynamic derivatives used ...
IEEE

Modified Fourth-Order Runge-Kutta Method Based on Trapezoid Approach

Abstract: This paper analyzes the modification of fourth order Runge-Kutta Method based on Trapezoid approach for calculating a distance of accelerometer sensor. This modification is done to obtain ...